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Finding the Fourth Proportional to 255,741.68, 352,925.16 and 148,375.76

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Solution

The fourth proportional to 255,741.68, 352,925.16 and 148,375.76 is: 204,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,741.68 : 352,925.16 = 148,375.76 : x
  2. Step 2: Convert to fraction form
    255,741.68/352,925.16 = 148,375.76/x
  3. Step 3: Cross multiply
    255,741.68x = 352,925.16 × 148,375.76
  4. Step 4: Simplify right side
    255,741.68x = 52,365,538,838.12
  5. Step 5: Solve for x
    x = 52,365,538,838.12/255,741.68
  6. Step 6: Final answer
    x = 204,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.